eNotes: Mechanical Engineering
   



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3.2 DEFINING POSITIONS AND DISPLACEMENTS


À  p

A point can be defined using a variety of methods. For our purposes, cartesian coordinates will be predominantly used.

We will largely rely upon vectors to define positions.



We must pay attention to the fact that the vector has a direction and magnitude. The direction is relative to the orientation of the coordinates (which YOU will choose arbitrarily). In more advanced problems we will use multiple coordinate axes.

We can add vectors easily if they are relative to the same reference coordinates,



So far we have reviewed vectors that are all relative to the same coordinate axes.

Now, consider what would happened if we had multiple coordinate axes.



Consider the drill problem below,



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